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Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups

  • Textbook
  • © 1994

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Part of the book series: Universitext (UTX)

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About this book

Quadratic Algebras, Clifford Algebras, and Arithmetic Forms introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings. The book begins very elementary and progresses gradually in its degree of difficulty. Topics include the connection between quadratic algebras, Clifford algebras and quadratic forms, Brauer groups, the matrix theory of Clifford algebras over fields, Witt groups of quadratic and symmetric bilinear forms. Some of the new results included by the author concern the representation of Clifford algebras, the structure of Arf algebra in the free case, connections between the group of isomorphic classes of finitely generated projectives of rank one and arithmetic results about the quadratic Witt group.

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Keywords

Table of contents (17 chapters)

Authors and Affiliations

  • Department of Mathematics, University of Notre Dame, Notre Dame, USA

    Alexander J. Hahn

Bibliographic Information

  • Book Title: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups

  • Authors: Alexander J. Hahn

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4684-6311-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1994

  • Softcover ISBN: 978-0-387-94110-3Published: 17 December 1993

  • eBook ISBN: 978-1-4684-6311-8Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XI, 286

  • Topics: Algebra

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